10056100561056 has 96 divisors (see below), whose sum is σ = 31996683633600. Its totient is φ = 3047303197440.

The previous prime is 10056100561033. The next prime is 10056100561063. The reversal of 10056100561056 is 65016500165001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10056100561056² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10056100561056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529036191 + ... + 529055198.

It is an arithmetic number, because the mean of its divisors is an integer number (333298787850).

Almost surely, 2^{10056100561056} is an apocalyptic number.

10056100561056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10056100561056 is an abundant number, since it is smaller than the sum of its proper divisors (21940583072544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10056100561056 is a wasteful number, since it uses less digits than its factorization.

10056100561056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058091419 (or 1058091405 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 10056100561056 in words is "ten trillion, fifty-six billion, one hundred million, five hundred sixty-one thousand, fifty-six".